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**Lesson 1.1- Variables and Expressions, pg. 6**

Objective: To write mathematical expressions for verbal expressions and vice versa.

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Vocabulary Variables: symbols used to represent unspecified numbers or values. Algebraic expressions: consists of one or more numbers and variables along with one or more arithmetic operations.

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**Factors: quantities being multiplied. **

Product: the result of multiplication. 5 × 8 = 40 Power: an expression like xn, and is read “x to the nth power.” xn product Factors exponent base

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**Base: number being used as a factor.**

Exponent: indicates the number of times the base is used as a factor. 43= 4×4×4 =64 Evaluate: find the value.

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**Key Words for Basic Operations**

Add Subtract Multiply Divide Sum Minus Times Quotient Plus Less than Product Divided by Increase Decrease Twice More than difference Squared- raise a number to the 2nd power Cubed- raise a number to the 3rd power

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**Ex. 1: Write an algebraic expression for each verbal expression.**

Five less than a number c c - 5 2. 9 plus the product of 2 and the number d 9 + 2d Three eighths of the original volume v ⅜v

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**Ex. 2: Write each expression algebraically.**

The product of ¾ and a to the seventh power. ¾a7 The sum of 11 and x to the third power. 11 + x³

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**Ex. 3: Evaluate each expression.**

34 8² 26

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**Ex. 4: Write a verbal expression for each algebraic expression.**

1. 2.

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**A bakery sells a dozen bagels for $8. 50 and a dozen donuts for $3. 99**

A bakery sells a dozen bagels for $8.50 and a dozen donuts for $3.99. Write and expression for the cost of buying b dozens of bagels and d dozen of donuts. NBA #1, pg. 8, problems even

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Lesson 1-6/ 1-7 Writing Algebraic Expressions. To evaluate an expression, substitute a number for a variable Example 1: Evaluate 3n + 7 when n = 3.

Lesson 1-6/ 1-7 Writing Algebraic Expressions. To evaluate an expression, substitute a number for a variable Example 1: Evaluate 3n + 7 when n = 3.

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